Prime p₀= 1370633855001718607 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1370633217426947231	0 2 6 8 18 20 30 32 36 38	-637574771376
SPT(16)	1370633276138526487	0 66 76 106 112 180 190 202 240 252 262 330 336 366 376 442	-578863192120
SPT(16)	1370633440750209709	0 28 52 64 84 90 112 190 222 300 322 328 348 360 384 412	-414251508898
STPT(10)	1370633708231174669	0 2 42 44 60 62 78 80 120 122	-146770543938
TPT(14)	1370633713938416381	0 2 60 62 108 110 156 158 348 350 450 452 516 518	-141063302226
SPT(16)	1370633797536088291	0 12 66 76 82 166 192 328 420 556 582 666 672 682 736 748	-57465630316
STPT(10)	1370634176407504637	0 2 30 32 72 74 114 116 144 146	321405786030
SPT(16)	1370634264175492493	0 14 74 86 90 108 126 144 170 188 206 224 228 240 300 314	409173773886
TPT(14)	1370634370585782347	0 2 12 14 24 26 90 92 222 224 342 344 372 374	515584063740
SPT(16)	1370634764803214257	0 54 72 100 114 132 162 180 274 292 322 340 354 382 400 454	909801495650
STPT(10)	1370634798345809177	0 2 24 26 42 44 60 62 84 86	943344090570