Prime p₀= 3212957237825978339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Hightower
db: batch=83, k=10, 2 46 2 40 2

SPT(16)	3212955726778341007	0 22 52 102 112 154 190 202 204 216 252 294 304 354 384 406	-1511047637332
SPT(16)	3212955938846963593	0 34 58 88 114 216 228 238 246 256 268 370 396 426 450 484	-1298979014746
STPT(12)	3212956074183438641	0 2 36 38 48 50 78 80 90 92 126 128	-1163642539698
TPT(14)	3212956074183438641	0 2 36 38 48 50 78 80 90 92 126 128 156 158	-1163642539698
STPT(10)	3212957148773530517	0 2 60 62 72 74 84 86 144 146	-89052447822
STPT(10)	3212957151049652519	0 2 42 44 60 62 78 80 120 122	-86776325820
SPT(16)	3212957784860013769	0 40 42 118 120 124 148 154 228 234 258 262 264 340 342 382	547034035430
SPT(16)	3212957874592074761	0 6 8 18 26 36 38 62 96 120 122 132 140 150 152 158	636766096422
SPT(18)	3212958061590704641	0 16 60 78 90 96 142 148 162 166 180 186 232 238 250 268 312 328	823764726302
STPT(10)	3212958137541495191	0 2 36 38 78 80 120 122 156 158	899715516852
STPT(10)	3212958295072160807	0 2 12 14 42 44 72 74 84 86	1057246182468