Prime p₀= 1044805314112303097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: stoneageman
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1044803933308505017	0 22 30 42 84 120 160 214 240 294 334 370 412 424 432 454	-1380803798080
TPT(14)	1044804022635845489	0 2 78 80 90 92 132 134 138 140 162 164 180 182	-1291476457608
SPT(16)	1044804310255498483	0 36 40 96 196 276 294 316 378 400 418 498 598 654 658 694	-1003856804614
STPT(10)	1044804734063424029	0 2 12 14 90 92 168 170 180 182	-580048879068
SPT(16)	1044805040626186453	0 6 18 84 124 126 138 144 280 286 298 300 340 406 418 424	-273486116644
STPT(10)	1044805101437829341	0 2 36 38 78 80 120 122 156 158	-212674473756
STPT(10)	1044805365446040797	0 2 30 32 42 44 54 56 84 86	51333737700
SPT(16)	1044805536506989849	0 12 18 22 78 88 114 130 282 298 324 334 390 394 400 412	222394686752
TPT(14)	1044805800308430779	0 2 108 110 180 182 192 194 300 302 342 344 372 374	486196127682
STPT(10)	1044805838761878629	0 2 18 20 60 62 102 104 120 122	524649575532
SPT(16)	1044806907035318491	0 58 78 88 102 106 180 192 226 238 312 316 330 340 360 418	1592923015394