Prime p₀= 2913778101393636689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2913776865652653367	0 42 90 120 154 160 210 222 262 274 324 330 364 394 442 484	-1235740983322
STPT(10)	2913777006839957117	0 2 30 32 72 74 114 116 144 146	-1094553679572
SPT(16)	2913777084542863463	0 18 66 74 116 134 150 194 210 254 270 288 330 338 386 404	-1016850773226
STPT(10)	2913777855970201769	0 2 48 50 90 92 132 134 180 182	-245423434920
SPT(16)	2913777945551673173	0 44 50 56 78 86 128 134 150 156 198 206 228 234 240 284	-155841963516
SPT(16)	2913778036548766633	0 30 46 58 70 126 136 208 336 408 418 474 486 498 514 544	-64844870056
SPT(16)	2913778116706967383	0 16 46 60 66 178 220 276 298 354 396 508 514 528 558 574	15313330694
SPT(16)	2913778156042682339	0 14 74 90 104 110 144 152 180 188 222 228 242 258 318 332	54649045650
STPT(10)	2913778198945603877	0 2 30 32 42 44 54 56 84 86	97551967188
TPT(14)	2913778345929372347	0 2 30 32 192 194 240 242 264 266 270 272 294 296	244535735658
SPT(16)	2913778487650004687	0 30 86 102 122 140 182 186 296 300 342 360 380 396 452 482	386256367998