Prime p₀= 2970727339515401537 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: Odd-Rod
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2970725261364018013	0 64 100 130 144 154 160 174 226 240 246 256 270 300 336 400	-2078151383524
TPT(14)	2970725821772701631	0 2 60 62 78 80 90 92 198 200 216 218 246 248	-1517742699906
SPT(16)	2970726133613073463	0 70 90 94 108 196 228 270 304 346 378 466 480 484 504 574	-1205902328074
STPT(10)	2970726600666695597	0 2 24 26 42 44 60 62 84 86	-738848705940
STPT(10)	2970726703095805139	0 2 12 14 90 92 168 170 180 182	-636419596398
SPT(16)	2970727060792362847	0 10 30 42 112 156 222 262 264 304 370 414 484 496 516 526	-278723038690
SPT(16)	2970727547471574977	0 50 60 132 140 164 192 204 272 284 312 336 344 416 426 476	207956173440
SPT(16)	2970727738170274553	0 14 48 50 56 78 104 108 116 120 146 168 174 176 210 224	398654873016
SPT(16)	2970727950579979649	0 24 30 68 72 114 140 180 182 222 248 290 294 332 338 362	611064578112
STPT(10)	2970728511597558377	0 2 30 32 42 44 54 56 84 86	1172082156840
STPT(10)	2970728814758547299	0 2 78 80 120 122 162 164 240 242	1475243145762