Prime p₀= 2991056870715469649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2991056295955788017	0 2 60 62 72 74 84 86 144 146	-574759681632
STPT(10)	2991056384989452887	0 2 72 74 162 164 252 254 324 326	-485726016762
SPT(16)	2991056476164860513	0 26 44 50 60 98 104 156 158 210 216 254 264 270 288 314	-394550609136
SPT(16)	2991056507029106743	0 10 58 76 90 96 100 126 148 174 178 184 198 216 264 274	-363686362906
SPT(16)	2991056595292437193	0 16 36 54 70 106 126 130 240 244 264 300 316 334 354 370	-275423032456
SPT(16)	2991056868430146323	0 8 56 66 80 84 98 120 134 156 170 174 188 198 246 254	-2285323326
STPT(10)	2991057047279963507	0 2 24 26 42 44 60 62 84 86	176564493858
SPT(16)	2991057049088076259	0 84 114 130 132 172 210 222 232 244 282 322 324 340 370 454	178372606610
TPT(14)	2991057069082062551	0 2 60 62 96 98 138 140 180 182 198 200 228 230	198366592902
STPT(10)	2991057288945335381	0 2 30 32 78 80 126 128 156 158	418229865732
SPT(16)	2991057331643198263	0 6 28 88 94 108 130 180 244 294 316 330 336 396 418 424	460927728614