Prime p₀= 1176580831428628697 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: [SG-FC] hl
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1176579415476748793	0 30 48 56 104 108 116 156 158 198 206 210 258 266 284 314	-1415951879904
STPT(10)	1176579529209094061	0 2 6 8 18 20 30 32 36 38	-1302219534636
TPT(14)	1176579598581764957	0 2 30 32 54 56 72 74 84 86 180 182 222 224	-1232846863740
TPT(14)	1176579650869580849	0 2 90 92 132 134 138 140 168 170 180 182 258 260	-1180559047848
STPT(10)	1176580463904515429	0 2 12 14 90 92 168 170 180 182	-367524113268
STPT(10)	1176580787715205391	0 2 36 38 78 80 120 122 156 158	-43713423306
SPT(16)	1176580951340547407	0 12 14 20 92 110 132 144 212 224 246 264 336 342 344 356	119911918710
SPT(16)	1176581166464273321	0 12 20 26 98 122 126 138 290 302 306 330 402 408 416 428	335035644624
STPT(10)	1176581265354518237	0 2 30 32 42 44 54 56 84 86	433925889540
SPT(16)	1176581590117778843	0 8 14 20 50 60 110 120 164 174 224 234 264 270 276 284	758689150146
SPT(16)	1176581659813653439	0 22 34 58 78 84 112 142 180 210 238 244 264 288 300 322	828385024742