Prime p₀= 2991718897323975317 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: Roadranner
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2991716998650637687	0 22 40 52 94 112 154 156 160 162 204 222 264 276 294 316	-1898673337630
STPT(10)	2991717164078661281	0 2 6 8 48 50 90 92 96 98	-1733245314036
TPT(14)	2991717895745719031	0 2 78 80 90 92 180 182 210 212 216 218 258 260	-1001578256286
SPT(16)	2991718361966159107	0 10 46 66 84 144 156 216 280 340 352 412 430 450 486 496	-535357816210
SPT(16)	2991718565168518253	0 26 84 90 96 176 234 236 258 260 318 398 404 410 468 494	-332155457064
STPT(10)	2991718802615845739	0 2 48 50 90 92 132 134 180 182	-94708129578
STPT(10)	2991719355357614051	0 2 30 32 78 80 126 128 156 158	458033638734
SPT(16)	2991719385565375849	0 30 48 52 70 72 90 94 108 112 130 132 150 154 172 202	488241400532
TPT(14)	2991719893948415351	0 2 36 38 96 98 126 128 150 152 198 200 210 212	996624440034
SPT(16)	2991720549972789961	0 42 46 82 96 100 130 166 216 252 282 286 300 336 340 382	1652648814644
SPT(16)	2991720865100854477	0 22 34 42 76 90 94 136 180 222 226 240 274 282 294 316	1967776879160