Prime p₀= 2157430658299114727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2157429611894522461	0 12 28 40 52 58 90 118 132 160 192 198 210 222 238 250	-1046404592266
SPT(16)	2157429780964455889	0 42 52 78 90 132 138 168 232 262 268 310 322 348 358 400	-877334658838
STPT(10)	2157429928508149541	0 2 120 122 138 140 156 158 276 278	-729790965186
SPT(16)	2157430070032074107	0 12 36 74 92 96 102 134 162 194 200 204 222 260 284 296	-588267040620
SPT(16)	2157430361720687167	0 60 72 90 112 136 154 162 184 192 210 234 256 274 286 346	-296578427560
STPT(12)	2157430378842395507	0 2 30 32 54 56 90 92 114 116 144 146	-279456719220
SPT(13)	2157430767798932551	0 126 132 156 162 216 246 276 330 336 360 366 492	109499817824
STPT(10)	2157430933033759907	0 2 30 32 42 44 54 56 84 86	274734645180
STPT(10)	2157431572971222257	0 2 84 86 132 134 180 182 264 266	914672107530
TPT(14)	2157431749260318281	0 2 18 20 78 80 156 158 186 188 216 218 240 242	1090961203554
SPT(16)	2157431863368391591	0 28 102 126 142 178 186 210 388 412 420 456 472 496 570 598	1205069276864