Prime p₀= 1151596777061078981 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: emoga
db: batch=77, k=10, 2 4 2 40 2

TPT(14)	1151595755313876149	0 2 60 62 90 92 138 140 222 224 252 254 312 314	-1021747202832
STPT(10)	1151595984700646669	0 2 18 20 30 32 42 44 60 62	-792360432312
SPT(16)	1151596108822405627	0 24 36 94 96 132 150 154 162 166 184 220 222 280 292 316	-668238673354
STPT(10)	1151596236428423867	0 2 54 56 72 74 90 92 144 146	-540632655114
SPT(16)	1151596326365339843	0 48 66 104 126 134 156 204 260 308 330 338 360 398 416 464	-450695739138
TPT(14)	1151596627259384771	0 2 78 80 216 218 258 260 306 308 330 332 348 350	-149801694210
SPT(16)	1151597002819126529	0 42 54 84 110 128 138 150 212 224 234 252 278 308 320 362	225758047548
SPT(16)	1151597068441021583	0 8 30 56 96 140 146 198 278 330 336 380 420 446 468 476	291379942602
STPT(10)	1151597131848426017	0 2 42 44 72 74 102 104 144 146	354787347036
SPT(16)	1151597812974490327	0 6 70 96 150 154 196 232 234 270 312 316 370 396 460 466	1035913411346
STPT(10)	1151597814486660599	0 2 42 44 60 62 78 80 120 122	1037425581618