Prime p₀= 1173748314818129051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: HenkM
db: batch=77, k=10, 2 76 2 58 2

TPT(14)	1173747437541404021	0 2 30 32 36 38 48 50 90 92 126 128 156 158	-877276725030
TPT(14)	1173747456358002467	0 2 102 104 144 146 294 296 342 344 390 392 432 434	-858460126584
SPT(16)	1173747510622547899	0 12 30 48 52 58 84 112 120 148 174 180 184 202 220 232	-804195581152
STPT(10)	1173747697502324447	0 2 24 26 42 44 60 62 84 86	-617315804604
STPT(10)	1173748112483194667	0 2 12 14 42 44 72 74 84 86	-202334934384
SPT(16)	1173748286866757123	0 8 30 44 56 68 84 114 140 170 186 198 210 224 246 254	-27951371928
SPT(16)	1173748428370921633	0 10 18 40 66 76 118 126 220 228 270 280 306 328 336 346	113552792582
STPT(10)	1173748462819255847	0 2 30 32 42 44 54 56 84 86	148001126796
SPT(16)	1173748563238668481	0 36 42 106 130 138 148 150 208 210 220 228 252 316 322 358	248420539430
SPT(16)	1173748595254532761	0 18 58 78 106 142 228 246 352 370 456 492 520 540 580 598	280436403710
SPT(16)	1173748781370084347	0 24 54 110 114 134 162 194 252 284 312 332 336 392 422 446	466551955296