Prime p₀= 2975159262211425407 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2975157368577467279	0 20 30 38 68 140 170 174 188 192 222 294 324 332 342 362	-1893633958128
SPT(16)	2975157720878934533	0 20 24 50 78 90 120 134 180 194 224 236 264 290 294 314	-1541332490874
TPT(14)	2975157767431601891	0 2 60 62 138 140 240 242 270 272 306 308 396 398	-1494779823516
TPT(14)	2975157820516804631	0 2 120 122 156 158 216 218 258 260 288 290 330 332	-1441694620776
TPT(14)	2975159022365520257	0 2 42 44 114 116 120 122 150 152 210 212 330 332	-239845905150
STPT(10)	2975159032766092721	0 2 6 8 48 50 90 92 96 98	-229445332686
SPT(16)	2975159409187251227	0 6 12 74 86 96 104 126 200 222 230 240 252 314 320 326	146975825820
SPT(16)	2975159476530366571	0 6 28 40 46 76 90 102 106 118 132 162 168 180 202 208	214318941164
STPT(10)	2975159982095551097	0 2 12 14 42 44 72 74 84 86	719884125690
STPT(10)	2975160174042440771	0 2 30 32 78 80 126 128 156 158	911831015364
SPT(16)	2975160545777675249	0 78 80 114 158 164 218 224 228 234 288 294 338 372 374 452	1283566249842