Prime p₀= 2721231016044110147 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: Thundergrid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2721229805090673119	0 24 42 78 80 138 152 204 278 330 344 402 404 440 458 482	-1210953437028
SPT(16)	2721229822416525821	0 18 32 42 66 78 92 146 162 216 230 242 266 276 290 308	-1193627584326
STPT(10)	2721229930620842447	0 2 42 44 72 74 102 104 144 146	-1085423267700
SPT(16)	2721230022684039953	0 30 36 60 78 80 104 168 206 270 294 296 314 338 344 374	-993360070194
SPT(18)	2721230392561504091	0 2 30 86 132 182 192 228 240 368 380 416 426 476 522 578 606 608	-623482606056
STPT(10)	2721230599139158199	0 2 18 20 30 32 42 44 60 62	-416904951948
STPT(10)	2721231248247582407	0 2 30 32 42 44 54 56 84 86	232203472260
SPT(16)	2721231538918719689	0 24 38 128 134 158 200 224 234 258 300 324 330 420 434 458	522874609542
STPT(10)	2721231620071614899	0 2 18 20 30 32 42 44 60 62	604027504752
STPT(10)	2721232100971927601	0 2 36 38 78 80 120 122 156 158	1084927817454
STPT(10)	2721232141315282937	0 2 24 26 42 44 60 62 84 86	1125271172790