Prime p₀= 2330686956239934137 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: Iril
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2330685837207737131	0 12 16 22 40 42 48 66 82 100 106 108 126 132 136 148	-1119032197006
STPT(10)	2330685884481483671	0 2 6 8 18 20 30 32 36 38	-1071758450466
STPT(10)	2330686003672086029	0 2 12 14 30 32 48 50 60 62	-952567848108
STPT(10)	2330686024872594407	0 2 42 44 72 74 102 104 144 146	-931367339730
STPT(10)	2330686123864595591	0 2 6 8 48 50 90 92 96 98	-832375338546
SPT(16)	2330686536657960997	0 6 90 112 132 154 196 204 262 270 312 334 354 376 460 466	-419581973140
STPT(10)	2330686988794020539	0 2 12 14 90 92 168 170 180 182	32554086402
SPT(18)	2330687325358256899	0 24 42 52 88 112 118 124 160 192 228 234 240 264 300 310 328 352	369118322762
TPT(14)	2330687709612725171	0 2 60 62 90 92 120 122 198 200 210 212 216 218	753372791034
SPT(20)	2330687921121211009	0 18 64 112 120 184 190 234 270 294 298 322 358 402 408 472 480 528 574 592	964881276872
SPT(16)	2330688162376383881	0 36 38 42 80 108 120 126 152 158 170 198 236 240 242 278	1206136449744