Prime p₀= 1269022824499123787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: mikey
db: batch=77, k=10, 2 28 2 28 2

STPT(10)	1269021693176488871	0 2 6 8 48 50 90 92 96 98	-1131322634916
SPT(16)	1269022008251802137	0 2 14 32 54 60 72 134 180 242 254 260 282 300 312 314	-816247321650
TPT(16)	1269022191791588807	0 2 42 44 60 62 72 74 84 86 144 146 234 236 240 242	-632707534980
SPT(16)	1269022512128787379	0 34 42 88 132 172 178 190 192 204 210 250 294 340 348 382	-312370336408
SPT(16)	1269022570445388919	0 12 24 42 160 202 222 228 244 250 270 312 430 448 460 472	-254053734868
SPT(16)	1269022716888290303	0 18 30 38 80 164 216 228 356 368 420 504 546 554 566 584	-107610833484
SPT(16)	1269022831046915201	0 6 56 126 168 188 200 210 236 246 258 278 320 390 440 446	6547791414
SPT(16)	1269022854914981251	0 16 40 42 96 120 126 130 138 142 148 172 226 228 252 268	30415857464
TPT(14)	1269022904070003749	0 2 30 32 132 134 162 164 210 212 240 242 300 302	79570879962
STPT(10)	1269022976804593601	0 2 90 92 108 110 126 128 216 218	152305469814
STPT(10)	1269023100171241871	0 2 30 32 78 80 126 128 156 158	275672118084