Prime p₀= 3213021706221286637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Hightower
db: batch=83, k=10, 2 28 2 10 2

STPT(10)	3213020778596863049	0 2 12 14 30 32 48 50 60 62	-927624423588
SPT(16)	3213020850177008011	0 10 22 58 70 82 102 120 130 148 168 180 192 228 240 250	-856044278626
SPT(16)	3213021012678327397	0 10 30 52 54 66 72 82 84 94 100 112 114 136 156 166	-693542959240
STPT(10)	3213021278476807487	0 2 30 32 42 44 54 56 84 86	-427744479150
SPT(16)	3213021346465523471	0 2 36 60 86 116 126 140 162 176 186 216 242 266 300 302	-359755763166
STPT(10)	3213021595484008667	0 2 60 62 72 74 84 86 144 146	-110737277970
SPT(16)	3213021742094114359	0 70 84 100 132 178 210 244 408 442 474 520 552 568 582 652	35872827722
STPT(10)	3213022042280234927	0 2 12 14 42 44 72 74 84 86	336058948290
SPT(16)	3213022389273963319	0 18 30 58 70 78 84 100 102 118 124 132 144 172 184 202	683052676682
TPT(14)	3213022454030690111	0 2 96 98 156 158 306 308 336 338 378 380 516 518	747809403474
STPT(10)	3213022480686729251	0 2 30 32 78 80 126 128 156 158	774465442614