Prime p₀= 1028630572474430207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	1028629689410163697	0 24 36 52 82 90 112 154 162 204 226 234 264 280 292 316	-883064266510
SPT(16)	1028629802459562449	0 14 42 54 122 144 194 264 368 438 488 510 578 590 618 632	-770014867758
TPT(14)	1028629923123862391	0 2 96 98 120 122 126 128 138 140 180 182 210 212	-649350567816
STPT(10)	1028630268698563589	0 2 42 44 60 62 78 80 120 122	-303775866618
STPT(10)	1028630286395813741	0 2 6 8 48 50 90 92 96 98	-286078616466
SPT(16)	1028630308556533063	0 78 94 106 118 154 156 184 210 238 240 276 288 300 316 394	-263917897144
SPT(16)	1028630717665401047	0 26 72 86 116 126 150 152 420 422 446 456 486 500 546 572	145190970840
TPT(14)	1028630835586387721	0 2 6 8 120 122 156 158 198 200 270 272 336 338	263111957514
STPT(10)	1028630976224772689	0 2 18 20 30 32 42 44 60 62	403750342482
STPT(10)	1028630988103558751	0 2 6 8 18 20 30 32 36 38	415629128544
SPT(16)	1028630995598680741	0 10 36 60 82 106 126 178 180 232 252 276 298 322 348 358	423124250534