Prime p₀= 1300527409362015047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: HenkM
db: batch=77, k=10, 2 88 2 40 2

SPT(16)	1300526684766563273	0 6 26 66 90 96 120 126 188 194 218 224 248 288 308 314	-724595451774
SPT(16)	1300526714972945423	0 8 20 54 60 90 98 104 264 270 278 308 314 348 360 368	-694389069624
STPT(10)	1300526810231468747	0 2 12 14 72 74 132 134 144 146	-599130546300
TPT(14)	1300526851207239419	0 2 78 80 240 242 252 254 318 320 348 350 372 374	-558154775628
TPT(14)	1300527210663951899	0 2 30 32 72 74 192 194 198 200 210 212 228 230	-198698063148
SPT(16)	1300527286441804921	0 40 66 76 78 106 126 148 168 190 210 238 240 250 276 316	-122920210126
STPT(12)	1300527641589269057	0 2 72 74 84 86 240 242 252 254 324 326	232227254010
STPT(10)	1300527692016095897	0 2 54 56 72 74 90 92 144 146	282654080850
SPT(16)	1300527867828360851	0 86 92 98 158 162 168 228 260 320 326 330 390 396 402 488	458466345804
STPT(10)	1300527959354334437	0 2 24 26 42 44 60 62 84 86	549992319390
SPT(16)	1300528136001546367	0 6 40 66 76 84 90 94 126 130 136 144 154 180 214 220	726639531320