Prime p₀= 1235370651361275017 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1235368847257300079	0 2 42 44 60 62 78 80 120 122	-1804103974938
SPT(16)	1235368922663243689	0 10 28 72 88 112 142 154 258 270 300 324 340 384 402 412	-1728698031328
STPT(10)	1235369224879093301	0 2 6 8 48 50 90 92 96 98	-1426482181716
STPT(10)	1235369271797664737	0 2 30 32 42 44 54 56 84 86	-1379563610280
SPT(16)	1235369396373131893	0 16 66 130 154 168 174 178 276 280 286 300 324 388 438 454	-1254988143124
SPT(16)	1235369445179449439	0 18 48 114 168 170 194 198 224 228 252 254 308 374 404 422	-1206181825578
STPT(10)	1235370755368740797	0 2 42 44 102 104 162 164 204 206	104007465780
SPT(16)	1235370771427813987	0 4 10 52 64 114 150 162 172 184 220 270 282 324 330 334	120066538970
SPT(16)	1235371025278398233	0 66 84 86 110 150 158 164 240 246 254 294 318 320 338 404	373917123216
STPT(12)	1235371415061560549	0 2 12 14 42 44 48 50 78 80 90 92	763700285532
STPT(10)	1235371683639020897	0 2 54 56 72 74 90 92 144 146	1032277745880