Prime p₀= 1123366952960278217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: crashtech
db: batch=76, k=10, 2 88 2 10 2

SPT(16)	1123365654807914363	0 24 54 84 96 164 186 230 234 278 300 368 380 410 440 464	-1298152363854
SPT(16)	1123366023519233537	0 2 72 86 170 192 222 242 330 350 380 402 486 500 570 572	-929441044680
STPT(10)	1123366430652013439	0 2 12 14 90 92 168 170 180 182	-522308264778
STPT(10)	1123366527797541497	0 2 30 32 42 44 54 56 84 86	-425162736720
SPT(16)	1123366724880511247	0 30 56 140 152 170 204 206 210 212 246 264 276 360 386 416	-228079766970
SPT(16)	1123366872040257623	0 6 98 120 158 176 206 216 218 228 258 276 314 336 428 434	-80920020594
STPT(10)	1123367000308335467	0 2 24 26 42 44 60 62 84 86	47348057250
STPT(10)	1123367581161305111	0 2 30 32 78 80 126 128 156 158	628201026894
TPT(14)	1123367602050284639	0 2 180 182 402 404 408 410 432 434 492 494 528 530	649090006422
TPT(14)	1123367714314766561	0 2 168 170 210 212 216 218 300 302 390 392 420 422	761354488344
SPT(16)	1123367803329771611	0 42 72 80 86 96 98 108 110 120 122 132 138 146 176 218	850369493394