Prime p₀= 1037942525058991157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: gemini8
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1037940574703040557	0 2 14 20 54 72 90 132 134 176 194 212 246 252 264 266	-1950355950600
SPT(16)	1037940862629375193	0 10 58 136 144 156 166 180 184 198 208 220 228 306 354 364	-1662429615964
SPT(16)	1037940890464894211	0 6 32 90 96 120 122 158 210 246 248 272 278 336 362 368	-1634594096946
SPT(16)	1037941269645677393	0 8 50 54 68 110 120 138 170 188 198 240 254 258 300 308	-1255413313764
SPT(16)	1037941601792402423	0 44 78 110 140 210 218 230 294 306 314 384 414 446 480 524	-923266588734
SPT(16)	1037942208402678347	0 6 26 32 42 60 66 164 252 350 356 374 384 390 410 416	-316656312810
SPT(16)	1037942560890624881	0 18 30 38 56 92 116 162 206 252 276 312 330 338 350 368	35831633724
SPT(16)	1037942562065832377	0 12 26 84 104 126 140 164 192 216 230 252 272 330 344 356	37006841220
STPT(10)	1037943226466752391	0 2 30 32 60 62 90 92 120 122	701407761234
STPT(10)	1037943376172069711	0 2 36 38 78 80 120 122 156 158	851113078554
TPT(14)	1037943795741576041	0 2 36 38 138 140 216 218 258 260 288 290 300 302	1270682584884