Prime p₀= 1248738257151706427 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1248737598545984341	0 42 46 82 88 132 138 142 156 160 166 210 216 252 256 298	-658605722086
SPT(16)	1248737687061454001	0 48 102 146 158 168 170 192 206 228 230 240 252 296 350 398	-570090252426
TPT(14)	1248737985782261549	0 2 12 14 120 122 150 152 168 170 222 224 288 290	-271369444878
STPT(10)	1248738010563943721	0 2 6 8 48 50 90 92 96 98	-246587762706
SPT(16)	1248738107051854127	0 56 62 74 86 120 164 186 230 252 296 330 342 354 360 416	-150099852300
SPT(16)	1248738221837111563	0 10 28 48 70 84 136 148 216 228 280 294 316 336 354 364	-35314594864
SPT(16)	1248738281889636641	0 90 96 102 122 200 206 210 242 246 252 330 350 356 362 452	24737930214
STPT(10)	1248738568941513899	0 2 18 20 30 32 42 44 60 62	311789807472
SPT(16)	1248738749310606509	0 8 30 68 72 90 98 120 152 174 182 200 204 242 264 272	492158900082
STPT(10)	1248739083750436697	0 2 12 14 42 44 72 74 84 86	826598730270
STPT(10)	1248739156053362591	0 2 36 38 78 80 120 122 156 158	898901656164