Prime p₀= 1124718034075195783 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 10 74 10 6 30 44 24 58 20 52 20 58 24 44 30 6 10 74 10 (?)
a_n: 0 10 84 94 100 130 174 198 256 276 328 348 406 430 474 504 510 520 594 604
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 604
Found by: amazing
db: batch=76, k=20, 10 74 10 6 30 44 24 58 20 52

TPT(14)	1124716727744505227	0 2 12 14 90 92 132 134 192 194 222 224 300 302	-1306330690556
SPT(16)	1124716876072227797	0 2 6 30 42 56 60 66 80 86 90 104 116 140 144 146	-1158002967986
SPT(16)	1124717046057173171	0 32 36 38 42 50 56 66 92 102 108 116 120 122 126 158	-988018022612
SPT(16)	1124717180375442551	0 8 42 50 60 66 86 98 150 162 182 188 198 206 240 248	-853699753232
TPT(14)	1124717471425499849	0 2 18 20 120 122 132 134 228 230 282 284 300 302	-562649695934
STPT(10)	1124717725725758807	0 2 30 32 42 44 54 56 84 86	-308349436976
SPT(16)	1124718479610086939	0 8 12 50 68 78 110 152 168 210 242 252 270 308 312 320	445534891156
TPT(14)	1124718717141788651	0 2 120 122 150 152 156 158 180 182 198 200 210 212	683066592868
SPT(18)	1124718911883777461	0 6 26 30 66 96 128 216 248 258 290 378 410 440 476 480 500 506	877808581678
SPT(16)	1124719224350458753	0 4 24 46 106 108 126 168 196 238 256 258 318 340 360 364	1190275262970
SPT(16)	1124719530358502699	0 20 32 74 80 132 152 158 174 180 200 252 258 300 312 332	1496283306916