Prime p₀= 2062887964711326677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2062886826857713253	0 14 50 56 78 104 108 116 168 176 180 206 228 234 270 284	-1137853613424
SPT(16)	2062887008323051531	0 10 36 88 136 162 168 186 262 280 286 312 360 412 438 448	-956388275146
TPT(14)	2062887072391034411	0 2 18 20 30 32 96 98 168 170 216 218 240 242	-892320292266
SPT(16)	2062887617201809961	0 2 38 72 168 248 252 260 330 338 342 422 518 552 588 590	-347509516716
SPT(16)	2062887880130471731	0 22 46 58 82 96 100 102 106 108 112 126 150 162 186 208	-84580854946
STPT(10)	2062887926030285087	0 2 24 26 42 44 60 62 84 86	-38681041590
STPT(10)	2062888035497714597	0 2 12 14 42 44 72 74 84 86	70786387920
SPT(16)	2062888611812403847	0 36 52 54 90 94 114 156 160 202 222 226 262 264 280 316	647101077170
SPT(16)	2062888812976131979	0 24 48 54 94 144 150 198 280 328 334 384 424 430 454 478	848264805302
STPT(12)	2062888938026328149	0 2 78 80 138 140 150 152 210 212 288 290	973315001472
STPT(10)	2062889020205407127	0 2 30 32 42 44 54 56 84 86	1055494080450