Prime p₀= 2343614447988470357 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2343612323806368841	0 28 52 120 178 198 310 316 402 408 520 540 598 666 690 718	-2124182101516
TPT(14)	2343612357950260937	0 2 12 14 42 44 72 74 180 182 192 194 234 236	-2090038209420
SPT(16)	2343612417511304783	0 6 44 54 56 90 104 114 116 126 140 174 176 186 224 230	-2030477165574
STPT(10)	2343612903425804597	0 2 30 32 72 74 114 116 144 146	-1544562665760
STPT(10)	2343613349984988797	0 2 60 62 72 74 84 86 144 146	-1098003481560
STPT(10)	2343614201154105791	0 2 6 8 18 20 30 32 36 38	-246834364566
SPT(16)	2343614786695918217	0 26 32 44 62 110 126 144 152 170 186 234 252 264 270 296	338707447860
STPT(10)	2343614802624053051	0 2 30 32 60 62 90 92 120 122	354635582694
SPT(16)	2343615155512928669	0 14 50 72 78 80 102 114 128 140 162 164 170 192 228 242	707524458312
SPT(16)	2343616211770837793	0 48 96 98 114 140 164 188 216 240 264 290 306 308 356 404	1763782367436
SPT(16)	2343616442356171219	0 4 40 42 102 154 208 234 238 264 318 370 430 432 468 472	1994367700862