Prime p₀= 1028630976224772689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1028630268698563589	0 2 42 44 60 62 78 80 120 122	-707526209100
STPT(10)	1028630286395813741	0 2 6 8 48 50 90 92 96 98	-689828958948
SPT(16)	1028630308556533063	0 78 94 106 118 154 156 184 210 238 240 276 288 300 316 394	-667668239626
STPT(10)	1028630572474430207	0 2 42 44 72 74 102 104 144 146	-403750342482
SPT(16)	1028630717665401047	0 26 72 86 116 126 150 152 420 422 446 456 486 500 546 572	-258559371642
TPT(14)	1028630835586387721	0 2 6 8 120 122 156 158 198 200 270 272 336 338	-140638384968
STPT(10)	1028630988103558751	0 2 6 8 18 20 30 32 36 38	11878786062
SPT(16)	1028630995598680741	0 10 36 60 82 106 126 178 180 232 252 276 298 322 348 358	19373908052
STPT(10)	1028631328474393247	0 2 90 92 102 104 114 116 204 206	352249620558
SPT(16)	1028631404951121319	0 12 28 54 144 150 204 208 234 238 292 298 388 414 430 442	428726348630
SPT(16)	1028631448767721207	0 12 54 76 106 180 192 222 274 304 316 390 420 442 484 496	472542948518