Prime p₀= 1123793019898095257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: crashtech
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1123791921082662437	0 2 60 62 72 74 84 86 144 146	-1098815432820
SPT(16)	1123791982584014867	0 12 60 110 114 132 140 146 180 186 194 212 216 266 314 326	-1037314080390
SPT(16)	1123792103987302283	0 8 18 20 24 30 66 78 86 98 134 140 144 146 156 164	-915910792974
SPT(16)	1123792583887842403	0 30 34 54 58 64 78 96 178 196 210 216 220 240 244 274	-436010252854
SPT(20)	1123792596876253181	0 20 26 86 120 126 132 146 152 168 260 276 282 296 302 308 342 402 408 428	-423021842076
TPT(14)	1123792790839134527	0 2 24 26 72 74 102 104 180 182 192 194 222 224	-229058960730
SPT(16)	1123793265107289137	0 12 20 32 44 56 84 132 194 242 270 282 294 306 314 326	245209193880
STPT(10)	1123793791040754479	0 2 48 50 60 62 72 74 120 122	771142659222
TPT(14)	1123793819610189197	0 2 54 56 84 86 114 116 162 164 240 242 324 326	799712093940
STPT(10)	1123794109464276797	0 2 30 32 42 44 54 56 84 86	1089566181540
SPT(16)	1123794365528046757	0 46 90 96 136 150 160 166 306 312 322 336 376 382 426 472	1345629951500