Prime p₀= 1235352698967225257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1235351622565846991	0 2 6 8 18 20 30 32 36 38	-1076401378266
STPT(10)	1235352227095995059	0 2 18 20 30 32 42 44 60 62	-471871230198
STPT(10)	1235352245536873337	0 2 30 32 42 44 54 56 84 86	-453430351920
TPT(14)	1235352325209950357	0 2 42 44 90 92 102 104 114 116 132 134 144 146	-373757274900
SPT(16)	1235352349697899163	0 8 14 20 38 78 98 108 146 156 176 216 234 240 246 254	-349269326094
SPT(16)	1235352396657888163	0 4 18 28 30 78 88 130 144 186 196 244 246 256 270 274	-302309337094
STPT(10)	1235352707590105451	0 2 6 8 48 50 90 92 96 98	8622880194
SPT(16)	1235352947329216489	0 70 78 138 142 144 190 202 210 222 268 270 274 334 342 412	248361991232
STPT(10)	1235352949794029159	0 2 30 32 60 62 90 92 120 122	250826803902
SPT(16)	1235353248054702797	0 12 54 60 102 144 174 182 234 242 272 314 356 362 404 416	549087477540
STPT(12)	1235353576775501999	0 2 102 104 132 134 138 140 168 170 270 272	877808276742