Prime p₀= 2356638874669874489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 10 2 16 2 40 2 76 2 (?)
a_n: 0 2 30 32 48 50 60 62 78 80 120 122 198 200
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=14, 28 16 10 16 40 76

SPT(16)	2356638348304001261	0 26 48 78 108 110 152 168 230 246 288 290 320 350 372 398	-526365873228
SPT(16)	2356638564453893221	0 22 42 102 106 178 186 192 256 262 270 342 346 406 426 448	-310215981268
SPT(18)	2356638572012510371	0 36 42 46 48 78 88 106 112 126 132 150 160 190 192 196 202 238	-302657364118
STPT(10)	2356638634003843199	0 2 48 50 90 92 132 134 180 182	-240666031290
STPT(10)	2356638837049804031	0 2 6 8 48 50 90 92 96 98	-37620070458
TPT(14)	2356638855391909601	0 2 30 32 36 38 60 62 126 128 210 212 216 218	-19277964888
SPT(16)	2356639016538241889	0 38 60 68 98 102 188 198 224 234 320 324 354 362 384 422	141868367400
SPT(16)	2356639048759555451	0 42 90 108 146 162 246 248 300 302 386 402 440 458 506 548	174089680962
TPT(14)	2356639101223441367	0 2 90 92 102 104 114 116 264 266 312 314 342 344	226553566878
STPT(10)	2356639432013387579	0 2 42 44 60 62 78 80 120 122	557343513090
SPT(16)	2356639635393156469	0 10 72 94 102 124 142 154 210 222 240 262 270 292 354 364	760723281980