Prime p₀= 2364124271875315919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: herby44
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2364123308193416149	0 24 58 64 72 90 108 120 142 154 172 190 198 204 238 262	-963681899770
STPT(10)	2364123415006214801	0 2 30 32 60 62 90 92 120 122	-856869101118
SPT(16)	2364123441765865841	0 90 120 146 176 182 266 270 308 312 396 402 432 458 488 578	-830109450078
STPT(10)	2364123587983894127	0 2 30 32 42 44 54 56 84 86	-683891421792
STPT(10)	2364124037070910019	0 2 42 44 90 92 138 140 180 182	-234804405900
STPT(10)	2364124232396702339	0 2 12 14 90 92 168 170 180 182	-39478613580
SPT(16)	2364124601511959431	0 10 28 70 78 90 96 126 172 202 208 220 228 270 288 298	329636643512
STPT(10)	2364124815019185479	0 2 18 20 30 32 42 44 60 62	543143869560
SPT(16)	2364124896383397233	0 14 20 38 56 78 98 108 116 126 146 168 186 204 210 224	624508081314
SPT(16)	2364125095499523253	0 10 18 66 106 108 130 148 198 216 238 240 280 328 336 346	823624207334
SPT(16)	2364125230067252989	0 124 210 214 264 304 322 348 364 390 408 448 498 502 588 712	958191937070