Prime p₀= 2991731617309233917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2991730330164086897	0 2 12 14 42 44 72 74 84 86	-1287145147020
TPT(14)	2991730502126067311	0 2 30 32 36 38 108 110 150 152 240 242 276 278	-1115183166606
STPT(10)	2991731003293470797	0 2 60 62 102 104 144 146 204 206	-614015763120
SPT(16)	2991731387463656191	0 18 70 72 82 90 96 118 180 202 208 216 226 228 280 298	-229845577726
TPT(14)	2991731473125943109	0 2 18 20 42 44 72 74 78 80 240 242 258 260	-144183290808
SPT(16)	2991731473476180209	0 8 12 14 48 62 84 108 164 188 210 224 258 260 264 272	-143833053708
SPT(16)	2991731776186147661	0 8 20 32 36 42 56 90 128 162 176 182 186 198 210 218	158876913744
STPT(10)	2991732352069760249	0 2 18 20 30 32 42 44 60 62	734760526332
SPT(18)	2991732362265557137	0 34 40 42 52 66 112 120 126 190 196 204 250 264 274 276 282 316	744956323220
SPT(16)	2991732630074528843	0 74 90 104 180 200 230 258 326 354 384 404 480 494 510 584	1012765294926
SPT(16)	2991732786890466131	0 50 60 132 162 210 216 218 240 242 248 296 326 398 408 458	1169581232214