Prime p₀= 1010073687706022507 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1010072388852124667	0 2 24 26 42 44 60 62 84 86	-1298853897840
STPT(10)	1010072967532099409	0 2 72 74 120 122 168 170 240 242	-720173923098
SPT(16)	1010073014031719159	0 30 32 110 134 144 200 222 242 264 320 330 354 432 434 464	-673674303348
SPT(16)	1010073360781216729	0 12 60 82 84 88 90 138 154 202 204 208 210 232 280 292	-326924805778
SPT(16)	1010073383216292883	0 28 36 76 90 130 138 160 174 196 204 244 258 298 306 334	-304489729624
SPT(16)	1010073572839684421	0 18 32 98 158 180 186 222 266 302 308 330 390 456 470 488	-114866338086
SPT(16)	1010073758431583687	0 32 56 86 114 116 122 140 186 204 210 212 240 270 294 326	70725561180
SPT(16)	1010073910011044993	0 36 48 74 98 116 140 168 176 204 228 246 270 296 308 344	222305022486
STPT(10)	1010074108201028831	0 2 36 38 78 80 120 122 156 158	420495006324
STPT(10)	1010074185402131621	0 2 30 32 78 80 126 128 156 158	497696109114
STPT(10)	1010074253423787449	0 2 18 20 60 62 102 104 120 122	565717764942