Prime p₀= 1117667463611308661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1117666127427666979	0 4 52 64 70 84 112 114 220 222 250 264 270 282 330 334	-1336183641682
TPT(14)	1117666228900848797	0 2 84 86 102 104 120 122 132 134 144 146 174 176	-1234710459864
TPT(14)	1117666411402883267	0 2 30 32 72 74 120 122 132 134 144 146 204 206	-1052208425394
SPT(16)	1117666439441851657	0 24 46 54 100 120 142 156 220 234 256 276 322 330 352 376	-1024169457004
STPT(10)	1117666451841645491	0 2 30 32 78 80 126 128 156 158	-1011769663170
STPT(10)	1117667110120311731	0 2 36 38 78 80 120 122 156 158	-353490996930
SPT(16)	1117667485981972973	0 14 60 108 134 144 150 158 210 218 224 234 260 308 354 368	22370664312
SPT(16)	1117667512517209421	0 20 26 36 50 158 218 230 258 270 330 438 452 462 468 488	48905900760
SPT(16)	1117667737645829081	0 32 38 48 62 96 108 138 230 260 272 306 320 330 336 368	274034520420
STPT(10)	1117667753108122001	0 2 30 32 60 62 90 92 120 122	289496813340
SPT(16)	1117667793486038413	0 40 54 58 64 124 138 180 394 436 450 510 516 520 534 574	329874729752